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Finding the Fourth Proportional to 715.40, 1,074.12 and 440.66

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Solution

The fourth proportional to 715.40, 1,074.12 and 440.66 is: 661.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.40 : 1,074.12 = 440.66 : x
  2. Step 2: Convert to fraction form
    715.40/1,074.12 = 440.66/x
  3. Step 3: Cross multiply
    715.40x = 1,074.12 × 440.66
  4. Step 4: Simplify right side
    715.40x = 473,316.35
  5. Step 5: Solve for x
    x = 473,316.35/715.40
  6. Step 6: Final answer
    x = 661.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.